Finding the Third Proportional to 37,725.75 and 54,492.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,725.75 : 54,492.75 = 54,492.75 : x
2. Step 2: Convert to fraction form
   37,725.75/54,492.75 = 54,492.75/x
3. Step 3: Cross multiply
   37,725.75x = 54,492.75 × 54,492.75
4. Step 4: Simplify right side
   37,725.75x = 2,969,459,802.56
5. Step 5: Solve for x
   x = 2,969,459,802.56/37,725.75
6. Step 6: Final answer
   x = 78,711.75